Thread: How to prove...

How can I prove that for a,b,c>0

I don't know how well this would work because it looks it might be a nightmare to simplify, but first thing I'd do would be to square it all and see what happened when I rearranged it.

Originally Posted by DarkAngel07

How can I prove that for a,b,c>0

I guess that you may first need to apply Muirhead's inequality to the symmetric sum on the left-hand side, then apply some simple inqualities (see Muirhead's inequality - Wikipedia, the free encyclopedia).